Theorems · Definition · category theory
CategoryTheory.Functor.PartialLeftAdjointSource
{C : Type u₁} →
[inst : CategoryTheory.Category.{v₁, u₁} C] →
{D : Type u₂} → [inst_1 : CategoryTheory.Category.{v₂, u₂} D] → CategoryTheory.Functor D C → Type u₁The full subcategory where F.partialLeftAdjoint shall be defined.
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.ObjectProperty.FullSubcategoryproof · cited by 726
- CategoryTheory.Functor.leftAdjointObjIsDefinedproof · cited by 16
Cited by14
Results whose statement or proof uses this declaration.
- CategoryTheory.Functor.partialLeftAdjointObjstatement and proof · cited by 9
- CategoryTheory.Functor.partialLeftAdjointHomEquivstatement and proof · cited by 7
- CategoryTheory.Functor.partialLeftAdjointMapstatement and proof · cited by 5
- CategoryTheory.Functor.partialLeftAdjointstatement and proof · cited by 3
- CategoryTheory.Functor.partialLeftAdjointHomEquiv_compstatement and proof · cited by 2
- CategoryTheory.Functor.partialLeftAdjointHomEquiv_mapstatement and proof · cited by 2
- CategoryTheory.Functor.corepresentableByCompCoyonedaObjOfIsColimitstatement and proof · cited by 1
- CategoryTheory.Functor.partialLeftAdjointHomEquiv_comp_symmstatement and proof · cited by 1
- CategoryTheory.Functor.partialLeftAdjointHomEquiv_symm_compstatement and proof · cited by 1
- CategoryTheory.Functor.partialLeftAdjointHomEquiv_symm_comp_assocstatement and proof · cited by 0
- CategoryTheory.Functor.partialLeftAdjoint_mapstatement and proof · cited by 0
- CategoryTheory.Functor.partialLeftAdjoint_objstatement and proof · cited by 0